and CORRECT Answers
moment of inertia (linear) - CORRECT ANSWER - resistance to linear acceleration.
measured in terms of mass
a body's inertia is directly proportional to what? what law does this demonstrate? - CORRECT
ANSWER - the body's mass. increased mass, leads to increased resistance to linear/angular
acceleration
-this is according to newton's second law
what does not affect linear momentum that affects angular momentum? - CORRECT
ANSWER - -distribution of mass in a system DOES NOT affect linear, but does impact
angular
what factors are included in moment of angular inertia? - CORRECT ANSWER -
resistance to angular acceleration (definition)
-mass
-distribution of mass with respect to the axis of rotation
moment of inertia of angular motion depends on amount of mass, but also depends on -
CORRECT ANSWER - -also depends on additional factor=*the distribution of mass with
respect to the axis of rotation*
moment of inertia is the _________ of the _______ of each particle's ______ and the_______ -
CORRECT ANSWER - nMoment of inertia is the sum of the products of each particle's
mass and radius of rotation squared
I = Sum of (mr^2)
,moment of inertia definition (angular) - CORRECT ANSWER - initial property for
rotating bodies, representing resistance to angular acceleration-based on both mass and distance
of mass distributed from the AOR
resistnace to movement. more inertia=harder to move
how does the distribution of mass impact the moment of inertia for angular objects? - CORRECT
ANSWER - -the more closely concentrated the mass is to the AOR, the *easier* it is to
swing the object because there is less resistance
-the further away the concentrated mass is from the AOR, the *harder* it is to swing the object
because there is more resistance
equation for moment of inertia - CORRECT ANSWER - I=mr^2
I-moment of inertia
m-mass (kg)
r-radius of rotation from distributon of mass (m)
which has a larger impact on the angular inertia=the radius of rotation, or the actual mass? -
CORRECT ANSWER - the radius of rotation because it is squared in the equation
if you hold the baseball bat by the barrel, what happens in regards to ease of swing? - CORRECT
ANSWER - -swinging the baseball bat while holding the barrel=much easier vs holding
the regular handle
, -gripping the barrel-more mass closer to the axis of rotation, easier to swing. the radius of
rotation is shorter so I ends up being smaller in the equation
what impact does a batter choking up have on the moment of inertia? why? - CORRECT
ANSWER - -batter choking up=reduces the moment of inertia
I=mr^2
decreases r, decreases I
lower inertia=easier to swing
lower inertia means it is _______ to initiate movement, higher inertia means it is _______ to
initiate movement - CORRECT ANSWER - lower=easier
higher-harder
equation for the moment of inertia for a body (human body) in respect to an axis - CORRECT
ANSWER - I=mk^2
I=moment of inertia
m=mass
k=radius of gyration
radius of gyration - CORRECT ANSWER - :distance form the axis of rotation to a point
where the body's mass could be concentrated without altering its rotational characteristics
is the radius of gyration the same as the segmental cg? does its length change? - CORRECT
ANSWER - not the same as the segmental cg